### Take on the challenge

We love problems at Sparx.

Every day we’re tackling brain-aching and complex issues as we continually explore new methods and ideas. We’ve created the set of problems below to give an idea of the kind of thinking that goes on at Sparx. And yes, because it’s fun and the kind of thing we like to do. They’re sorted and colour coded by difficulty level – see how tough you can go!

Enjoy these? Then you’d probably fit right in at Sparx and we’d love to hear from you. Get in touch here.

### You're on a TV gameshow

on the verge of winning a luxury round-the-world cruise. In front of you is a giant spinner bearing the numbers 1 to 10 (with each number being equally likely to come up). To win, all you need to do is spin the wheel three times and beat your previous spin each time. What is your probability of winning the cruise?

Answer### You're Blindfolded

and a deck of 52 playing cards is placed in front of you. You're told that the 13 hearts are face-up, and all the others are face-down, but the ordering of the cards is completely random. Without peeking, how can you rearrange the deck into two piles such that each pile has the same number of cards facing up?

Answer### Today's your Birthday

and it's time to cut the cake, which measures 12 inches wide by 12 inches deep by 6 inches tall. As usual, there is icing on the cake's top and sides, but not on the bottom. How can you cut the cake up into 9 pieces so that every piece has the same amount of cake and the same amount of icing?

AnswerThe problem cards in this deck are colour-coded by difficulty level, as follows: